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Advances in Time-Delay Systems pp 43–60Cite as

Robust Stability Conditions of Quasipolynomials by Frequency Sweeping

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 38))

Abstract

In this chapter we study the robust stability independent of delay of some class of uncertain quasipolynomials, whose coefficients may vary in a certain prescribed range. OUr main contributions include frequency-sweeping conditions for interval, diamond and spherical quasipolynomial families. The correspoding results provide necessary and sufficient conditions, and are easy to check, requiring only the computation of two simple frequency-dependent functions. Various extensions (polytopic uncertainty, multivariate polynomials) are also presented.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of California, Riverside, CA, 92521, USA

    Jie Chen

  2. HeuDiaSyC (UMR CNRS 6599), UT Compiègne, BP 20529, 60205, Compiègne, France

    Silviu-Iulian Niculescu

Authors
  1. Jie Chen
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  2. Silviu-Iulian Niculescu
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Editor information

Editors and Affiliations

  1. Centre de Recherche de Royallieu, Universite de Technologie de Compiègne, UMR CNRS 6022, 60205, Compiègne, France

    Silviu-Iulian Niculescu

  2. Department of Mechanical and Industrial Engineering, Southern Illinois University, Edwardsville, IL, 62025-1805, USA

    Keqin Gu

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Chen, J., Niculescu, SI. (2004). Robust Stability Conditions of Quasipolynomials by Frequency Sweeping. In: Niculescu, SI., Gu, K. (eds) Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18482-6_3

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  • DOI: https://doi.org/10.1007/978-3-642-18482-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20890-7

  • Online ISBN: 978-3-642-18482-6

  • eBook Packages: Springer Book Archive

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